DE's: Separation of variables - Please explain working clearly!
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DE's: Separation of variables - Please explain working clearly! I have listed all information given in...
Torsional vibration of a shaft is governed by the wave equation, = 4 where ex, ) is the angular displacement (angle of twist) along the shaft, x is the distance from the endc the shaft and is time. For a shaft of length 4x that is supported by frictionless bearings at each end, the boundary conditions are Ox(O.t) = 0x(4r, f) = 0, 1>0. Suppose that the initial angular displacement and angular velocity are Ox, 0) = 6 cos(x), 0x,...
Torsional vibration of a shaft is governed by the wave equation, where x, t) is the angular displacement (angle of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4T that is supported by frictionless bearings at each end, the boundary cond itions are Ox(0, t) 0x(4T, t) = 0, t 0 Suppose that the initial angular displacement and angular velocity are Of(x, 0) = 1...
Torsional vibration of a shaft is governed by the wave equation = 16- where e(r,t) is the angular displacement (angle of twist) along the shaft, is the distance from the end of the shaft and t is time. For a shaft of length 3T that is supported by frictionless bearings at each end, the boundary conditions are 0 r (0,t) = 0x(3mT, t) = 0, t > 0. Suppose that the initial angular displacement and angular velocity are e(xr,0)= 4cos(4x),...
governed by the wave equation, Torsional vibration of a shaft at2 ax2 where x, t) is the angular displacement (angle of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4T that is supported by frictionless bearings at each end, the boundary conditions are t > 0 ex(0, t) 0x(47, t) = 0, Suppose that the initial angular displacement and angular velocity are e(x,0) = 3...
Torsional vibration of a shaft is governed by the wave equation, Torsional vibration of a shaft is governed by the wave equation, 9 where 0(x, t) is the angular displacement (angle of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 2T that is supported by frictionless bearings at each end, the boundary conditions are 0 x(0,t) = 0x(2T, t) = 0, t> 0 Suppose that...
please highlight answer to be inputted thank you Torsional vibration of a shaft is governed by the wave equation, where 0(x,t) is the angular displacement (angle of twist) along the shaft, z is the distance from the end of the shaft and t is time For a shaft of length 3T that is supported by frictionless bearings at each end, the boundary conditions are 0x(0, t) 0 (3m, t) = 0, t > 0. Suppose that the initial angular displacement...
Torsional vibration of a shaft is govened by the wave equation, dr2 dr2 f twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4x that is supported by frictionless bearings at each end, the boundary conditions are where (x, f) is the angular displacement (angle t 0. 0x (0, )= 0x(4, )= 0, Suppose that the initial angular displacement and angular velocity are x, 0) 2...
where (x, t) is the angular displacement (ang le of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4m that is supported by frictionless bearings at each end, the boundary conditions are t 0. Өx (0, г) — Өx(4л, t) — 0, Suppose that the initial angular displacement and angular velocity are Of(x, 0) = 2 cos(3x) = 6 cos(4x), ex, 0) 0 x< 4...
Torsional vibration of a shaft is governed by the wave equation, Torsional vibration of a shaft is governed by the wave equation, 9 where 0(x, t) is the angular displacement (angle of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 2T that is supported by frictionless bearings at each end, the boundary conditions are 0 x(0,t) = 0x(2T, t) = 0, t> 0 Suppose that...
Torsional vibration of a shafti govemed by the wave equation a-2 where (z,t) is the angular displacement (angle of twist) along the shaft, z is the distance from the end of the shaft and t is time. For a shaft of length 2 that is supported by frictionless bearings at each end the boundary conditions are r(0.t)-r(2r.t) =0. t>0. Suppose that the initial angular displacement and angular velocity are (,0) cos(3r), 0,(z,0)- 6+6cos(2r), 0<r< 2x, respectively. the eigenvalues of the...